verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient​

Answers

Answer 1

Answer: yea its 123445

Step-by-step explanation:

Answer 2

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

What is a Polynomial?

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.

As per the given data:

We are given the equation of a cubic polynomial x³ + 3x² - x - 3.

The zeroes of the given cubic polynomial are also given.

We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient​.

For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).

Checking the given zeroes similarly:

For 1:

1³ + 3(1)² - 1 - 3 = 0

1 + 3 - 1 - 3 = 0

0 = 0

1 is a zero

For -1:

(-1)³ + 3(-1)² - (-1) - 3 = 0

-1 + 3 + 1 - 3 = 0

0 = 0

-1 is a zero

For -3:

(-3)³ + 3(-3)² - (-3) - 3 = 0

-27 + 27 + 3 - 3 = 0

0 = 0

-3 is a zero

For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to

= (-b)/a

Similarly, for x³ + 3x² - x - 3:

1 + (-1) + (-3) = (-3)/1

1 - 1 - 3 = -3

-3 = -3

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

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Related Questions

In the morning, Christopher puts out
7
3
5
pounds of food for the piglets on his farm.
In the evening, he puts out another
6
4
5
pounds. How much food does Christopher put out in all?

A.
13
pounds

B.
13
2
5
pounds

C.
14
2
5
pounds

D.
14
4
5
pounds

Answers

Answer:

Step-by-step explanation:

The question didn’t display properly. I’m guessing he puts out 7⅗ pounds in the morning and 6⅘ pounds in the evening.

7⅗ + 6⅘ = 38/5 + 34/5 = 72/5 = 14⅖ pounds

if you spin the spinner 40 times, how many 4'

Answers

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

Previous 20 Item 20 The width of a rectangular room is 60% of its length. The length of the room is 10 feet. What is the area of the room

Answers

Answer: A=60 square feet

Explanation: w=10*0.6=6 ft.

A=lw

A=10*6=60 square feet.

Answer: 60 feet²

Step-by-step explanation:

The width of the rectangular room is 60% of the length which is 10 feet.

The width is therefore:

= 60% * 10

= 6 feet

The area of a rectangle is calculated by the formula:

= Length * Width

Area there is:

= 10 * 6

= 60 feet²

A solution to a system of equations will always be in what form?"​

Answers

Answer/Step-by-step explanation

set of values that satisfy all equations in the system, and there can be many such answers for any given system. Answers are generally written in the form of an ordered pair: (x,y).

A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h

Answers

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

What is linear functions?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

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Can someone PLEASE help with this one question!?

Answers

Answer:

x^2= 25

x = 5

pls mark as brainliest

x= + or - 5
Hope that helped

The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.

Drag figures to each box so that their total area is equal to the number given.

Answers

Answer:

what is the answer?

Step-by-step explanation:

Answer:

Answers are in the pictures.

Step-by-step explanation:

The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in

Answers

Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

V = s³

8 = s³

Take the cube root of both sides:

2 = s

So, the length of one side is 2 inches.

The length of one side of cube will be 2 in i.e. option D.

What is volume ?

Volume is the amount of space that something contains or fills.

Volume of the cube = side³ = a³

We have,

Volume of the cube = 8 in³

And,

Side of cube = a

So,

Volume of the cube = side³ = a³

i.e.

8 = a³

⇒ a³ = 8

a = ∛8

On solving we get,

a = 2

i.e.

Side of cube = 2 in

Hence, we can say that the length of one side of cube will be 2 in i.e. option D.

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consider the system composed of the functions f(x), which is graphed below, and g(x)=cube root of x-2. what is the solution of this system? answer is an ordered pair

Answers

Hdkdhzgzhsveyebbrdbejke

A city has 17391 registered Democrats and 20553 registered
Republicans. An organization wishes to survey equal proportions of
each group.

The council decides to survey 13 Republicans
How many Democrats should they survey? Democrats

Answers

Answer: The council should survey 11 Democrats.

Step-by-step explanation:

A proportional relationship is written as:

y = k*x

Where k is the constant of proportionality. y is the number of surveyed members, and x is the total number of registered members.

If we use the same proportion for each case, then we will use the same value of k.

We know that there are 20553 registered Republicans, and the council decides to survey 13 of them, then we will have the relation:

13 = k*20553

Now we can solve this for k:

13/20553 = k

Then the proportional relationship will be:

y = (13/20553)*x

The number of democrats they should survey can be found if we replace x by the number of registered Democrats, then we use x = 17391

this leads to:

y = (13/20553)*17391 = 11

The company should survey 11 Democrats.

can someone solve this?

Answers

47z²−25

Step-by-step explanation:

3627272727822881818181

Answer:

130z-3

Step-by-step explanation:

Break down the equation:

(9[tex]z^{2}[/tex]-4)=

9z * 9z= 81z

You can't subtract 4, so I left it at (81z- 4)

(7[tex]z^{2}[/tex]+ 1)=

7z * 7z= 49z

You can't add 1, so I left it at (49z+ 1)

Then Solve:

You can add 81z and 49z.

81z+49z= 130z

-4+1= -3

Hope this helps!

The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are

produced when the cost is $19. Round your answers to the nearest whole number

All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or

equation, must be on a new line.

Answers

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?

Answers

Answer:

132 miles

Step-by-step explanation:

Given data

scale 1cm:40mi.

this means that

1 cm on the map is equal to 40 miles on

Hence if 1cm rep 40 miles

              3.3cm will rep x

cross multiply

x= 3.3*40

x=132 miles

does anyone know the answer??

Answers

Ghhikdjdjndkkdkdmddjs hdduuusuid dhshsjjss d

Answer:

5 minutes

Step-by-step explanation:

150-50=100

100/20=5

PLEASE HELP URGENT!! giving 20pts and brainliest!!

Answers

Rule: opposite sides are equal/ angles are equal.

I’m stuck with this question plz help

Answers

Answer:

40 in i think if i am wrong sorry

Step-by-step explanation:

5in + 5in = 10 10 * 4 = 40

246.49

All you have to do to find the Circumference is use this formula

pi (3.14) R (radius) squared.

-Ɽ3₮Ɽ0 Ⱬ3Ɽ0

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

What is a perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

Given

if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

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If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a

Answers

1. 10=5(2)
2.k=5
3. 10=1/5(2)
4.2=5(10)

please help with this ASAP. image below

Answers

Angle BDC is complementary

Answer:

Angle BDC

Step-by-step explanation:

Complementary is angles that add up to 90 degrees

A car moving on a highway covers the first 400.0 m in 18.0s and then covers the next 250.0 m in 24.0 s.

What is the average speed of the car?

Answers

Answer: 15.48 m/s

Step-by-step explanation:

The following information can be gotten from the question:

Total distance covered by the car will be:

= 400m + 250m

= 650m

Total time taken = 18.0s + 24.0s = 42s

Average speed = Distance/Time

= 650/42

= 15.48 m/s

GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT

Answers

Answer:

Yes you are correct.

Answer:

None of the above

Step-by-step explanation:

Your answer is correct. :)

URGENT pls help will mark brainliest, 40 points

Answers

Answer:

14answer 3

15answer1

16answer1

complete square to solve
3x^2 + 12x – 9 = 0

Answers

Answer: I hope this answer your question

Step-by-step explanation: Have a brilliant day mate- Lily ^_^

Sarawong invests $4,537 in a retirement account with a fixed annual interest rate of 4.55% compounded quarterly. What will the account balance be after 17 years?

Answers

Answer:

$8,046.37

Step-by-step explanation:

4,537*0.0455= 206.4335

206.4335*17=3509.3695

4537+3509.3695=8046.3695

8046.3695 rounded = $8,046.37

Find S? Please help, thank you :)

Answers

Answer:

If I am correct, the answer should be 70.1 degrees.

9. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?

Answers

Answer:

24yards

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]

Step-by-step explanation:

The formula for a triangle's area is:

[tex]a= \frac{1}{2} bh[/tex]

We know the area is 36 square yards and the base is 3 yards.

[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]

Substitute the values into the formula.

[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]

Divide by 1/2 or multiply both sides by 2.

[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]

[tex]72 \ yd^2= (3 \ yd)h[/tex]

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]

[tex]24 \ yd =h[/tex]

The height of the triangle is 24 yards.

canz someone help me this is very confusing

Answers

Answer:

$48

75 minutes

Step-by-step explanation:

36/75=0.48 so %1 of her money is 0.48 but if you multiply that by 100 then you get $48, im pretty sure there's an easier way to do that but thats how i got it

18/24=0.75

0.75x100=75

in order to increase the circumference of a circle from 12 pi cm to 18 pi cm by how much must the diameter increase?

Answers

Circumference = diameter x PI

To increase from 12 to 18 subtract:

18-12 = 6

The diaeter needs to increase by 6 cm


A number cube with faces numbered 1 through 6 is rolled 15 times. In theory, how many times would you expect to roll a number less than five?
A: 2.5
B: 5
C: 10
D: 12.5

Answers

Answer:

dude im retaking the test and we have the same teacher,lol

Step-by-step explanation:

[tex]9x^2-4[/tex]
please simplify!

Answers

Answer:

(3x+2)(3x−2)

Step-by-step explanation:

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